A Dynamical System Analysis On Hi-Tech Start-up Enterprises

In this paper, we make research on theories and application of high-tech start-up enterprises, which relate to microeconomics, innovation theory, real options, and optimal control theory. The paper mainly contains two aspects: one is the mechanism or principles; the other is the empirical study. We not only try to enrich the theory of high-tech start-up enterprises, but also try to offer the reference to the practice. The paper includes five parts:The first part is an ecological analysis of start-up environment in high-tech enterprises. We analyze the mechanism of start-up environment in high-tech enterprises, set up the resources competition model of high-tech start-up enterprises by the ecological competition theory, draw some conclusions by mathematical induction, and presents corresponding economic explanations. Based on the above, the solution to the problem is presented.The second part is an analysis of the dynamic process of start-up on high-tech enterprises. We analyze the dynamic process of start-up on high-tech enterprises, establish the model of path dependence on the process of start-up on high-tech enterprises, discuss the process's path dependence characteristic, and probes into path dependence's impact on the dynamic process of start-up on high-tech enterprises.The third part is the real options analysis of the high-tech start-up enterprises dynamic decision-making. We analyze the start-up dynamic decision-making of the high-tech start-up enterprises, propose the theoretical framework of the real options, and detail the dynamic decision-making process of the high-tech start-up enterprises to build up the dynamic decision-making model of real options. Based on the above, the solution to the problem is presented.The fourth part is the dynamic optimal control analysis of the high-tech start-up enterprises decision. We propose the binary theory in the high-tech start-up enterprises, analyze the inner-relationship between the technology and the management in the development of the high-tech start-up enterprises, develop the optimal control model of the binary theory based on the high-tech start-upenterprises, and draw some conclusions by mathematical induction.The fifth part is a case study of the high-tech start-up enterprises dynamic process. We take SUN Company as an example. The theory of start-up environments, start-up paths, start-up dynamic decision-making and optimal control of decisions are embodied in the analysis of this example. This part tries to combine the theory with the practice.